Mathematical fuzzy logics

被引:44
作者
Gottwald, Siegfried [1 ]
机构
[1] Univ Leipzig, Inst Logik & Wissensch Theorie, D-04107 Leipzig, Germany
关键词
D O I
10.2178/bsl/1208442828
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The last decade has seen an enormous development in infinite-valued systems and in particular in such systems which have become known as mathematical fuzzy logics. The paper discusses the mathematical background for the interest in such systems of mathematical fuzzy logics, as well as the most important ones of them. It concentrates on the propositional cases, and mentions the first-order systems more superficially. The main ideas, however, become clear already in this restricted setting.
引用
收藏
页码:210 / 239
页数:30
相关论文
共 121 条
[1]   Basic hoops: An algebraic study of continuous t-norms [J].
Aglianò P. ;
Ferreirim I.M.A. ;
Montagna F. .
Studia Logica, 2007, 87 (1) :73-98
[2]  
Aguzzoli S., 2002, Neural Network World, V12, P407
[3]   Finite-valued reductions of infinite-valued logics [J].
Aguzzoli, S ;
Gerla, B .
ARCHIVE FOR MATHEMATICAL LOGIC, 2002, 41 (04) :361-399
[4]   Finiteness in infinite-valued Łukasiewicz logic [J].
Aguzzoli S. ;
Ciabattoni A. .
Journal of Logic, Language and Information, 2000, 9 (1) :5-29
[5]  
Alsina C., 2006, ASS FUNCTIONS TRIANG
[6]  
[Anonymous], 1965, MONATSBER DTSCH AKAD
[7]  
[Anonymous], 2001, OXFORD LOGIC GUIDES
[8]  
[Anonymous], 1983, N HOLLAND SERIES PRO
[9]  
[Anonymous], 2002, UNIVERSAL ALGEBRA AP
[10]  
[Anonymous], 1981, THESIS ETH ZURICH